Draw two parallel lines and a transversal. Mark two alternate interior angles $G$ and $H$. If they are supplementary, what is the measure of each angle?

A plumber must installs pipe $2$ parallel to pipe $1$. He knows that $\angle 1$ is $53$. If the measure of $\angle 2=k°$, then find the value of $k$.

If the value of $y=k°$, the find the value of $k$.

If the value of $z=k°$, the find the value of $k$.

Find the value of $x$ and $y$ if $RS$ is parallel to $PQ$.

In the figure, the lines $GH$ and $IJ$ are parallel. If $\angle 1=108°$ and $\angle 2=123°$, find the value of $x, y$ and $z$.

In the parking lot shown, the lines that mark the width of each space are parallel. If $\angle 1=(2x-3y)°,\angle 2=(x+39)°$. Find $x$ and $y$.